Same symptom for a laptop and a desktop, both were working until after the reboot following the update.
Before the update the primary name server was 192.168.1.41 (DHCP from Pi-hole) and after the update network manager showed an apparently random internet based e.g. LAN IP 18.104.22.168 on the desktop and currently on my laptop, 22.214.171.124 for LAN IP and Wi-Fi.
Another one I noted earlier was 126.96.36.199 and 188.8.131.52.
I don’t seem to be able use the configuration utility to point it back to the internal address of pi-hole and I’m a bit concerned about what DNS settings my systems are using.
I’m not sure what to do about this, where to look and that, but I’d like to get it working again as it did previously.
Kernel 6.1.12-1 let me know if I need to provide more info.